36608900 has 36 divisors (see below), whose sum is σ = 81388020. Its totient is φ = 14284800.

The previous prime is 36608881. The next prime is 36608909. The reversal of 36608900 is 980663.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15888196 + 20720704 = 3986^2 + 4552^2 .

It is not an unprimeable number, because it can be changed into a prime (36608909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365 + ... + 8564.

Almost surely, 2^36608900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36608900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40694010).

36608900 is an abundant number, since it is smaller than the sum of its proper divisors (44779120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36608900 is a wasteful number, since it uses less digits than its factorization.

36608900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8984 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 36608900 is about 6050.5289025010. The cubic root of 36608900 is about 332.0439410559.

The spelling of 36608900 in words is "thirty-six million, six hundred eight thousand, nine hundred".